Answer: The correct answer is z = 0.4
Step-by-step explanation:
Solve the equation step-by-step.
z+3/5−1/4=3/4
Step 1: Simplify both sides of the equation.
z+3/5−1/4=3/4
z+3/5+−1/4=3/4
Combine like terms:
(z)+(3/5+−1/4)=3/4
z+7/20=3/4
Step 2: Subtract 7/20 from both sides
z+7/20−7/20=3/4−7/20
z+7/20−7/20=15/20−7/20
z=8/20
z=2/5
Change to decimal format:
z= 2/5*2/2 = 4/10 = 0.40
Please remember to vote this answer as Brainliest if I earned it!
Answer:
z = 2/5
Step-by-step explanation:
Given equation,
→ z + (3/5) - (1/4) = (3/4)
Now the value of z will be,
→ z + (3/5) - (1/4) = (3/4)
→ z + (3/5) = (3/4) + (1/4)
→ z + (3/5) = 1
→ z = 1 - (3/5)
→ z = (5 - 3)/5
→ [ z = 2/5 ]
Hence, the value of z is 2/5.
is 5 greater than 5 .01
Answer:
Is 5 greater than 5 .01?
This is incorrect.
Step-by-step explanation:
This is false, that 1% makes 5 .01 greater than 5. Thats why 5.01 is greater than 5.
Answer:
5 is less than 5.01
Step-by-step explanation:
5.01 is greater than 5
James takes out a loan of 9000 euros which keeps on charging simple interest at a rate of 3% of the original amount per annum until it is cleared. James pays of 770 euros each year to reduce the loan. After how many years will James have fully cleared the loan?
James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.
To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.
The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.
In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.
In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.
This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.
Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.
Combining like terms, we have 9000 + 270 = 1.04x.
Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.
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Create the B-Tree Index (m=4) after insert the following input index: (7 pts.) 12,13,10,5,6,1,2,3,7,8,9,11,4,15,19,16,14,17
The B-Tree index (m = 4) after inserting the given input index
[10, 13]
/ \
[1, 2, 3, 4, 5, 6, 7, 8, 9] [11, 12] [14, 15, 16, 17, 19]
To create a B-Tree index with m = 4 after inserting the given input index, we'll follow the steps of inserting each value into the B-Tree and perform any necessary splits or reorganizations.
Here's the step-by-step process:
1. Start with an empty B-Tree index.
2. Insert the values in the given order: 12, 13, 10, 5, 6, 1, 2, 3, 7, 8, 9, 11, 4, 15, 19, 16, 14, 17.
3. Insert 12:
- As the first value, it becomes the root node.
4. Insert 13:
- Add 13 as a child to the root node.
5. Insert 10:
- Add 10 as a child to the root node.
6. Insert 5:
- Add 5 as a child to the node containing 10.
7. Insert 6:
- Add 6 as a child to the node containing 5.
8. Insert 1:
- Add 1 as a child to the node containing 5.
9. Insert 2:
- Add 2 as a child to the node containing 1.
10. Insert 3:
- Add 3 as a child to the node containing 2.
11. Insert 7:
- Add 7 as a child to the node containing 6.
12. Insert 8:
- Add 8 as a child to the node containing 7.
13. Insert 9:
- Add 9 as a child to the node containing 8.
14. Insert 11:
- Add 11 as a child to the node containing 10.
15. Insert 4:
- Add 4 as a child to the node containing 3.
16. Insert 15:
- Add 15 as a child to the node containing 13.
17. Insert 19:
- Add 19 as a child to the node containing 15.
18. Insert 16:
- Add 16 as a child to the node containing 15.
19. Insert 14:
- Add 14 as a child to the node containing 13.
20. Insert 17:
- Add 17 as a child to the node containing 15.
The resulting B-Tree index (m = 4) after inserting the given input index will look like this:
```
[10, 13]
/ \
[1, 2, 3, 4, 5, 6, 7, 8, 9] [11, 12] [14, 15, 16, 17, 19]
```
Each node in the B-Tree is represented by its values enclosed in brackets. The children of each node are shown below it. The index values are arranged in ascending order within each node.
Please note that the B-Tree index may have different representations or organization depending on the specific rules and algorithms applied during the insertion process. The provided representation above is one possible arrangement based on the given input.
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T/F If the equilibrium wage in the market for unskilled labor is $8.00 per hour, and the government sets a minimum wage at $7.50 per hour, unskilled workers will receive a pay cut of about 50 cents per hour.
The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.
The wage rate remains unchanged, and the labor market remains in balance.
The statement is false.
False.
The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.
The government then sets a minimum wage at $7.50 per hour.
Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).
In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.
The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.
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Write the fraction as a sum of a unit fraction. 5/6
Answer:
1/2 + 1/3
Step-by-step explanation:
The answer would be 1/2 + 1/3 (forgive me if I am wrong).
The given fraction can be written as either 1/3 + 1/2 or 1/6 + 1/6 + 1/6 + 1/6 + 1/6.
Unit Fraction:Important information:
The given fraction is \(\dfrac{5}{6}\).A fraction is called a unit fraction if the numerator of the fraction is 1.
We know that 2 and 3 are factors of denominator 6. So, the given fraction can be written as:
\(\dfrac{5}{6}=\dfrac{2+3}{6}\)
\(\dfrac{5}{6}=\dfrac{2}{6}+\dfrac{3}{6}\)
\(\dfrac{5}{6}=\dfrac{1}{3}+\dfrac{1}{2}\)
Here, \(\dfrac{1}{3}\) and \(\dfrac{1}{2}\) are unit fractions.
Therefore, the given fraction can be written as 1/3 + 1/2.
Another way to write the fraction as the sum of a unit fraction is:
\(\dfrac{5}{6}=\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{6}\)
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The length of the base of a parallelogram is 14 centimeters, and the corresponding height is h centimeters. which formula can be used to find a, the area of the parallelogram in square centimeters?
The formula that can be used to find the area (a) of a parallelogram is: a = base × height.
Which formula can be used to find the area (a) of a parallelogram with a base length of 14 centimeters and a height represented by 'h' centimeters?
The answer states that the formula to find the area of a parallelogram is "a = base × height" based on the given information of a base length of 14 centimeters and a height represented by 'h' centimeters.
This formula is derived from the geometric properties of a parallelogram, where the area is equal to the product of the base length and the corresponding height.
By substituting the given values into the formula, we can calculate the area of the parallelogram in square centimeters.
The formula assumes that the height is perpendicular to the base and that the given values accurately represent the dimensions of the parallelogram.
It's important to note that without a specific value for 'h', the exact area cannot be determined, but the formula provides a general method to calculate it.
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Let a and b be 3 by 3 matrices with det (a) = 3 and det (b) = 5. find the value of det(ab).
If the value of determinant a is 3, determinant b is 5 then the value of determinant ab is 15.
Given that the value of determinant a is 3, determinant b is 5.
We are required to find the value of determinant ab.
Determinant of a matrix is the scalar value computed for a given square matrix.It means the matrix which is not square does not have a determinant value. It is denoted by IAI.
We know that,
IaI*IbI=IabI
So we have to just put the values in the above formula to get the determinant of ab.
IabI=3*5
=15
Hence if the value of determinant a is 3, determinant b is 5 then the value of determinant ab is 15.
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I need help with these questions my crush sent me these to help him answer these but I am bad at maths so someone please help me out and save me.thank you so much
Answer:
dfffdfsfsfsf
Step-by-step explanation:
(a) What do you think is meant by 'employability'? (Worth 20\% of the marks) (b) What do you think a person's strengths in terms of 'employability'? (Worth 30% of the marks) (c) What elements of 'employability' do you think a person need to develop and how to plan to do this in the future? (Worth 50% of the marks)
(a) Employability refers to the set of skills, knowledge, attributes, and experiences that make a person desirable and competitive in the job market.
(b) A person's strengths in terms of employability include relevant education and qualifications, technical and soft skills, adaptability, interpersonal abilities, and a strong work ethic.
(c) To develop employability, individuals need to focus on improving their skills, gaining relevant experience, networking, staying updated with industry trends, and setting clear career goals.
(a) Employability can be understood as the overall package of skills, knowledge, attributes, and experiences that enable individuals to secure and succeed in employment. It goes beyond mere job qualifications and encompasses a range of factors that make a person desirable and competitive in the job market. This includes both hard skills, such as technical expertise, and soft skills, such as communication and problem-solving abilities.
(b) When assessing a person's strengths in terms of employability, various factors come into play. These strengths include having relevant education and qualifications that align with the desired field or industry. Technical skills specific to the job or industry are valuable, along with transferable skills like critical thinking, teamwork, and leadership. Adaptability and the ability to learn and grow in a rapidly changing work environment are also significant strengths. Additionally, possessing strong interpersonal skills, a positive attitude, and a strong work ethic contribute to employability.
(c) To enhance employability, individuals should focus on developing the necessary skills and experiences. This can be achieved by pursuing continuous learning and upskilling through courses, certifications, or advanced degrees. Gaining relevant work experience through internships, part-time jobs, or volunteering can also enhance employability. Building a professional network through networking events, industry conferences, and online platforms can provide valuable connections and opportunities. It is important to stay updated with industry trends, technologies, and market demands to remain competitive. Additionally, setting clear career goals, creating a career development plan, and seeking mentorship or guidance can help individuals navigate their professional growth and improve their employability in the future.
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a skscraper casts a shadow 200 feet long. if the angle of elevation of the sun is 38, then the height of the skyscraper is approximently .
The height of the skyscraper is approximately 156.25 feet
First of all, let's recall some trigonometric functions that are used in the given problem:
tanθ = Perpendicular/Base
or tan θ = Opposite/Adjacent
where θ is the angle of elevation.
We have given the length of the shadow, which is the base.
We have to determine the height of the skyscraper, which is the perpendicular.
We can calculate the angle of elevation using the following formula:
θ = tan⁻¹(opposite/adjacent)
Here, opposite is the height of the skyscraper, and adjacent is the length of the shadow.
We can calculate the value of θ as:θ = tan⁻¹(h/200) .... (1)
According to the problem, θ = 38.
We can substitute the value of θ in equation (1) and find the value of h:
h = 200 tan(38°)h
= 200 × 0.78125h
= 156.25 feet.
We can check our answer using the Pythagorean theorem:
Height² + Base² = Hypotenuse²h² + 200²
= (200/tan(38°))²h² + 40000
= 29554.45²h²
= 29554.45² - 40000h²
≈ 24589.59h
≈ 156.26 approximately .
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is 10/24 equivalent to 8/20
Use the Associative, Commutative, and Distributive properties to write an
equivalent expression in simplest form of the expression 2x + 8 + 3x - 3
Answer:
\(\boxed{5(x+1)}\)
Step-by-step explanation:
Associative Property
\(\boxed{a+(b+c)= (a+b)+c}\)
\(\boxed{a \cdot (b\cdot c)= (a \cdot b) \cdot c}\)
Commutative Property
\(\boxed{ b \cdot a = a \cdot b}\)
\(\boxed{a+b= b+c}\)
Distributive Property
\(\boxed{ a(b+c)= ab+ac }\)
\(\boxed{ a(b-c)= ab+ac }\)
\(2x + 8 + 3x - 3 =5x+5 = \boxed{5(x+1)}\)
Choose the system of equations which matches the following graph.
A. 3x-6y=12
9x-18y=36
B. 3x+6y=12
9x+18y=36
The system of equations that matches the given graph is:
A. 3x - 6y = 12
9x - 18y = 36
To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.
Looking at the options provided:
A. 3x - 6y = 12
9x - 18y = 36
B. 3x + 6y = 12
9x + 18y = 36
Let's analyze the equations in each option:
For option A:
The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.
The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.
In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.
For option B:
The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.
The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.
In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.
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identify the mistake and correct the mistake.
if A and B are square matrices of order n such that det (AB) =1,
then both A and B are non-singular. Prove by contradiction.
If det(AB) = 1, then both matrices A and B must be non-singular.
To prove this statement by contradiction, let's assume that either A or B is singular. Without loss of generality, let's assume A is singular, which means that there exists a nonzero vector x such that Ax = 0.
Now, consider the product AB. Since A is singular, we can multiply both sides of Ax = 0 by B to obtain ABx = 0. This implies that the matrix AB maps the nonzero vector x to the zero vector, which means that AB is singular.
However, the given information states that det(AB) = 1. For a matrix to have a determinant of 1, it must be non-singular. Hence, we have reached a contradiction, which means our assumption that A is singular must be false.
By a similar argument, we can prove that B cannot be singular either. Therefore, if det(AB) = 1, both matrices A and B must be non-singular.
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help with the question below please!!
Answer:
a.= 24 b.=-21 c. is x=-7 or 3
Step-by-step explanation:
Step-by-step explanation:
a) f(5)= 5² + 4 x 5 -21
=24
b) f(0)= 0² + 4 x 0 -21
= -21
c) f(x)= 0
=> x² + 4x -21 =0
=> x = 3, x= -7
Help!!!
a $52 item is marked up 10% and then markdown 10% what is the final price
Answer: $51.48
Step-by-step explanation:
If a $52 item is marked up by 10%, its new price will be:
$52 + 10% of $52 = $52 + $5.20 = $57.20
Then, if this new price is marked down by 10%, the final price will be:
$57.20 - 10% of $57.20 = $57.20 - $5.72 = $51.48
Therefore, the final price of the item after the markup and markdown is $51.48.
i just need it solve thats all
Answer:
A and 1/3
Step-by-step explanation:
A school librarian ordered new books for the library. Of the new books ordered 1/3 are science and 2/5 are biography, and the rest of the books are friction. What fraction of the book ordered are friction?
Answer:
4/15
Step-by-step explanation:
1/3=5/15
2/5=6/15
6+5=11
15-11=4
4/15 books a fiction
Which is the graph of the solution set of −2x + 5y > 15?
On a coordinate plane, a dashed straight line has a positive slope and goes through (0, 3) and (10, 7). Everything above and to the left of the line is shaded.
On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (5, 1). Everything below and to the left of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (0, 5) and (10, 9). Everything above and to the left of the line is shaded.
Answer:
it is the first option
Step-by-step explanation:
First step. Switch the greater than sign and turn the linear inequality to slope formula. after that graph the line. it is a dashed line due to not being greater than EQUAL to. if not equaled to then it is dotted. then you need a point as your testing point to see if it is shaded in that area. I chose to(0,0) but you could have chose any point. Once you plug in the zeros you will notice you get the false statement of 0 greater than 15. so obviously that is a no so you shade the opposite side of your testing point. phew
Answer:
A. On a coordinate plane, a dashed straight line has a positive slope and goes through (0, 3) and (10, 7). Everything above and to the left of the line is shaded.
Step-by-step explanation:
A rectangular paddock has perimeter 100 m. Find the width of the paddock if its length is 30 m.
Answer:
Step-by-step explanation:
W= L x 2/P
= 30 x 2/ 100
= 60 /100 = 0.6
I NEED TO KNOW
What does 1 + 1 equal?
(A) 11
(B) 1
(C) 16
(D) 1/8
I WILL MARK BRANLIEST
Value of expression 1 + 1 = 2
What is addition?Addition is the process of adding two or more items together. In math, addition is the method of calculating the sum of two or more numbers.
Given expression,
1 + 1
+ is sign of Addition, Adding the numbers,
1 + 1 = 2
Hence, 2 is the value of expression 1 + 1.
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C.
tan(450)
Help please!
Answer:
The answer is 0
Step-by-step explanation:
A wall has been built in such a way that the top row contains one block, the next lower row contains 3 blocks, the next lower row contains 5 blocks, and so on, increasing by two blocks in each row. How many rows high is the wall if the total number of blocks used was 900 ?
Answer:
The answer is 30 ROWS.
Step-by-step explanation:
Please give brainlyest
Write two equivalent ratios as fractions, where one of the fractions is in simplest form. In complete sentences, describe the following: What is the relationship between the numerators of the two fractions
Answer:
1/3 and 6/18 their relationship is 6
Step-by-step explanation:
I think this might be the answer but I was confused as to what it meant as well. Sry if it’s wrong :(
Choose the pair of complementary angles
Answer:
B is the answer
Step-by-step explanation:
When you add AOB and NOM its 90 degrees. AOB is 29 + NOM that is 61. 61 + 29 = 90 degrees. Since complementry angles are 90 degrees, it is correct! Pls tell me if its correct or not!
Answer:
B is the answer
Step-by-step explanation:
ADD-
AOB and NOM
=90 degrees
AOB =29
add "NOM"
NOM= 32
=61.
61 + 29 = 90 degrees.
Complementary angles are 90 degrees
Hii can someone who is really good at math please help me with these 2 math questions. I'm struggling with them!!
Which expression is equivalent to 3n+2(1-4n)?
a) 2-n
b) 2-5n
c) 2+11n
d) 2-11n
Samuel chose A as his answer. Explain why he did that.
Answer:
3n +2 -8n
2 - 5n
Step-by-step explanation:
Answer:
He only multiplied the 2 to the first term in the parentheses instead of both terms
Step-by-step explanation:
3n+2(1-4n)
Distribute
3n + 2 -8n
Combine like terms
2 -5n
Samuel made the mistake of incompletely distributing
He only multiplied the 2 to the first term in the parentheses instead of both terms
3n+2(1-4n)
3n +2 -4n
2-n
Z 3. Give/Describe a generator, a directrix and the rulings of the cylinder x = (1/z)^z. Draw a sketch of the cylinder.
The cylinder x = (1/z)^z has a unique shape defined by its generator curve, a directrix line at x = 1, and rulings connecting the generator curve to the directrix.
The cylinder x = (1/z)^z represents a cylindrical surface in three-dimensional space. The generator of the cylinder is obtained by fixing the x-coordinate and allowing z to vary. By doing so, we generate a curve that lies on the surface of the cylinder. This curve is known as the generator.
The directrix of the cylinder is the line x = 1. It acts as a reference line parallel to the z-axis and helps determine the position of the ruling lines. The rulings of the cylinder are straight lines that connect corresponding points on the generator curve to the directrix. These lines create a grid-like pattern that extends across the surface of the cylinder.
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2 to the power minus 6 as a fraction
Answer:
1/64
Step-by-step explanation:
A negative exponent in essence brings your 2^6 value under 1. So your problem would now look like 1/(2^6). From there it is easy simplifying, knowing hat 2^6 = 64. So your answer turns out to be 1/64.
2 to the power minus 6 as a fraction would be equal to 1/64
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A negative exponent in essence brings 2^6 value under 1.
So 1/(2^6).
From there it is easy simplifying, knowing that;
2^6 = 64.
Therefore, the answer turns out to be 1/64.
2 to the power minus 6 as a fraction would be equal to 1/64
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